88130070549000 has 384 divisors, whose sum is σ = 324546383116800. Its totient is φ = 22118917708800.

The previous prime is 88130070548999. The next prime is 88130070549013. The reversal of 88130070549000 is 94507003188.

88130070549000 is a `hidden beast` number, since 8 + 8 + 1 + 30 + 0 + 70 + 549 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×88130070549000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2155809 + ... + 13450191.

It is an arithmetic number, because the mean of its divisors is an integer number (845172872700).

Almost surely, 2^{88130070549000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88130070549000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162273191558400).

88130070549000 is an abundant number, since it is smaller than the sum of its proper divisors (236416312567800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88130070549000 is a wasteful number, since it uses less digits than its factorization.

88130070549000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11294447 (or 11294410 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 88130070549000 in words is "eighty-eight trillion, one hundred thirty billion, seventy million, five hundred forty-nine thousand".